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Finding the Fourth Proportional to 431,352.90, 646,543.35 and 206,820.90

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Solution

The fourth proportional to 431,352.90, 646,543.35 and 206,820.90 is: 309,998.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,352.90 : 646,543.35 = 206,820.90 : x
  2. Step 2: Convert to fraction form
    431,352.90/646,543.35 = 206,820.90/x
  3. Step 3: Cross multiply
    431,352.90x = 646,543.35 × 206,820.90
  4. Step 4: Simplify right side
    431,352.90x = 133,718,677,536.02
  5. Step 5: Solve for x
    x = 133,718,677,536.02/431,352.90
  6. Step 6: Final answer
    x = 309,998.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.